468407564696000

Names of 468407564696000

• Cardinal: 468407564696000 can be written as Four hundred sixty-eight trillion, four hundred seven billion, five hundred sixty-four million, six hundred ninety-six thousand.

Scientific notation

• Scientific notation: 4.68407564696 × 10¹⁴

Factors of 468407564696000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 17005

Divisors of 468407564696000

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 227 244 250 257 305 320 400 454 488 500 514 610 800 908 976 1000 1028 1135 1220 1285 1525 1600 1816 1952 2000 2056 2270 2440 2570 3050 3632 3904 4000 4112 4540 4880 5140 5675 6100 6425 7264 7625 8000 8224 9080 9760 10280 11350 12200 12850 13847 14528 15250 15677 16448 16453 18160 19520 20560 22700 24400 25700 27694 28375 30500 31354 32125 32906 36320 41120 45400 48800 51400 55388 56750 58339 61000 62708 64250 65812 69235 72640 78385 82240 82265 90800 97600 102800 110776 113500 116678 122000 125416 128500 131624 138470 156770 164530 181600 205600 221552 227000 233356 244000 250832 257000 263248 276940 291695 313540 329060 346175 363200 391925 411200 411325 443104 454000 466712 488000 501664 514000 526496 553880 583390 627080 658120 692350 783850 822650 886208 908000 933424 1003328 1003633 1028000 1052992 1107760 1166780 1254160 1316240 1384700 1458475 1567700 1645300 1730875 1816000 1866848 1959625 2007266 2056000 2056625 2215520 2333560 2508320 2632480 2769400 2916950 3135400 3290600 3461750 3558679 3733696 3734831 3919250 4014532 4113250 4228421 4431040 4667120 5016640 5018165 5264960 5538800 5833900 6270800 6581200 6923500 7117358 7292375 7469662 7838500 8029064 8226500 8456842 9334240 10036330 11077600 11667800 12541600 13162400 13847000 14234716 14584750 14939324 15677000 16058128 16453000 16913684 17793395 18668480 18674155 20072660 21142105 22155200 23335600 25083200 25090825 26324800 27694000 28469432 29169500 29878648 31354000 32116256 32906000 33827368 35586790 37348310 40145320 42284210 46671200 50181650 55388000 56938864 58339000 59757296 62708000 64232512 65812000 67654736 71173580 74696620 80290640 84568420 88966975 93342400 93370775 100363300 105710525 110776000 113877728 116678000 119514592 125416000 125454125 131624000 135309472 142347160 149393240 160581280 169136840 177933950 186741550 200726600 211421050 227755456 227824691 233356000 239029184 250908250 257933681 270618944 284694320 298786480 321162560 338273680 355867900 373483100 401453200 422842100 444834875 455649382 466712000 466853875 501816500 515867362 528552625 569388640 597572960 676547360 711735800 746966200 802906400 845684200 889669750 911298764 933707750 959851567 1003633000 1031734724 1057105250 1138777280 1139123455 1195145920 1289668405 1353094720 1423471600 1493932400 1605812800 1691368400 1779339500 1822597528 1867415500 1919703134 2007266000 2063469448 2114210500 2278246910 2579336810 2846943200 2987864800 3382736800 3558679000 3645195056 3734831000 3839406268 4014532000 4126938896 4228421000 4556493820 4799257835 5158673620 5693886400 5695617275 5975729600 6448342025 6765473600 7117358000 7290390112 7469662000 7678812536 8029064000 8253877792 8456842000 9112987640 9598515670 10317347240 11391234550 12896684050 14234716000 14580780224 14939324000 15357625072 16507755584 16913684000 18225975280 19197031340 20634694480 22782469100 23996289175 25793368100 28469432000 28478086375 29878648000 30715250144 32241710125 33827368000 36451950560 38394062680 41269388960 45564938200 47992578350 51586736200 56956172750 58550945587 61430500288 64483420250 72903901120 76788125360 82538777920 91129876400 95985156700 103173472400 113912345500 117101891174 119981445875 128966840500 153576250720 182259752800 191970313400 206346944800 227824691000 234203782348 239962891750 257933681000 292754727935 307152501440 364519505600 383940626800 412693889600 455649382000 468407564696 479925783500 515867362000 585509455870 767881253600 911298764000 936815129392 959851567000 1031734724000 1171018911740 1463773639675 1535762507200 1822597528000 1873630258784 1919703134000 2063469448000 2342037823480 2927547279350 3747260517568 3839406268000 4684075646960 5855094558700 7318868198375 7678812536000 9368151293920 11710189117400 14637736396750 18736302587840 23420378234800 29275472793500 46840756469600 58550945587000 93681512939200 117101891174000 234203782348000 468407564696000
• Sum of all divisors σ(n): 1188901992081024
• Sum of proper divisors (its aliquot sum) s(n): 720494427385024
• 468407564696000 is an abundant number, because the sum of its proper divisors (720494427385024) is greater than itself. Its abundance is 252086862689024

Bases of 468407564696000

• Binary: 1101010100000001110100010100000001111100111000000₂
• Hexadecimal: 0x1AA03A280F9C0
• Base-36: 4M1BGQ3F7K

Squares and roots of 468407564696000

• 468407564696000 squared (468407564696000²) is 219405646664437425572416000000
• 468407564696000 cubed (468407564696000³) is 102771264634640190021255132353025536000000000
• The square root of 468407564696000 is 21642725.4451928951
• The cube root of 468407564696000 is 77661.8920210509

Scales and comparisons

• 468,407,564,696,000 seconds is equal to 14,893,911 years, 35 weeks, 1 day, 15 hours, 33 minutes, 20 seconds.
• To count from 1 to 468,407,564,696,000 would take you about thirty-seven million, two hundred thirty-four thousand, seven hundred seventy-nine years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 468407564696000 cubic inches would be around 6471.8 feet tall.

Recreational maths with 468407564696000

• 468407564696000 backwards is 000696465704864
• The number of decimal digits it has is: 15
• The sum of 468407564696000's digits is 65
• More coming soon!